Stable Self-Similar Blowup for Nonlinear Wave Equations Beyond Light Cones

Explore a 15-minute conference talk on stable self-similar blowup for nonlinear wave equations beyond light cones, presented by Matthias Ostermann at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into the corotational wave maps equation and Yang-Mills equation in energy-supercritical dimensions, examining explicit self-similar blowup solutions that persist beyond singularities. Discover new stability results for these blowup solutions in spacetime regions extending from the backward light cone of the singularity towards its future light cone. Gain insights into coordinate systems adapted to self-similarity and compatible with wave evolution, enabling the study of flow near self-similar blowup in extended spacetime regions. This talk was part of the Thematic Programme on "Nonlinear Waves and Relativity" held at ESI from April 29 to June 21, 2024.

Matthias Ostermann - Stable self-similar blowup for nonlinear wave equations beyond light cones